Skip to main content

A Back-Propagation Training Method for Multilayer Pulsed Neural Networks Using Principle of Duality

  • Conference paper
Advances in Neuro-Information Processing (ICONIP 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5507))

Included in the following conference series:

  • 1601 Accesses

Abstract

Pulsed Neuron (PN) model was proposed as one of the simplest models working by pulse trains. PN model has a membrane potential to deal with the temporal information, and the calculation process is inexpensive. However, as the output function of PN model is an Unit Step function, PN model cannot directly use the back-propagation (BP) method. It would be possible to solve general pattern recognition problems if the PN model could be trained by the BP method. In this paper, we propose a BP method for multilayer pulsed neural networks. The proposed method uses the duality of PN model, in which the desired output of hidden layer neuron is calculated from output layer neurons’ weights and output. Experimental results show that the multilayer pulsed neural networks can learn and recognize non-linear problems using the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Rumelhart, D.E., Hinton, G.E., Williams, R.J.: Learning Representations by Back-propagating Errors. Nature 323(9), 533–536 (1986)

    Article  Google Scholar 

  2. Rumelhart, D.E., Hinton, G.E., Williams, R.J.: Learning Internal Representation by Error Propagation. In: McClelland, J.L., Rumelhart, D.E., The PDP Research Group (eds.) Parallel Distributed Processing, vol. 1, MIT Press, Cambridge (1986)

    Google Scholar 

  3. Maass, W., Bishop, C.M.: Pulsed Neural Networks. MIT Press, Cambridge (1998)

    MATH  Google Scholar 

  4. Iwasa, K., Kuroyanagi, S., Iwata, A.: A Sound Localization and Recognition System using Pulsed Neural Networks on FPGA. In: Proceeding of International Joint Conference of Neural Networks 2007, August 2007 (to appear)

    Google Scholar 

  5. Simei, G.W., Lubica, B., Nikola, K.: Adaptive Learning Procedure for a Network of Spiking Neurons and Visual Pattern Recognition. In: Blanc-Talon, J., Philips, W., Popescu, D., Scheunders, P. (eds.) ACIVS 2006. LNCS, vol. 4179, pp. 1133–1142. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  6. Simei, G.W., Lubica, B., Nikola, K.: Adaptive Spiking Neural Networks for Audiovisual Pattern Recognition. In: Proceedings of International Conference on Neural Information Processing 2007, pp. 406–415 (2008)

    Google Scholar 

  7. Sander, M.B., Han, A.L.P., Joost, N.K.: Error-Backpropagation in Temporally Encoded Networks of Spiking Neurons. In: Proceedings of Neurocomputing, vol. 48, pp. 17–37 (2002)

    Google Scholar 

  8. Sander, M.B., Han, A.L.P., Joost, N.K.: Error-Backpropagation in Temporally Encoded Networks of Spiking Neurons, CWI Technical Report, SEN-R0036 (2000)

    Google Scholar 

  9. Yamada, K., Kuroyanagi, S., Iwata, A.: A Supervised Learning Method Using Duality in the Artificial Neuron model (Japanese). Proceedings of IEICE J87-D2(2), 399–406 (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Iwasa, K., Kugler, M., Kuroyanagi, S., Iwata, A. (2009). A Back-Propagation Training Method for Multilayer Pulsed Neural Networks Using Principle of Duality. In: Köppen, M., Kasabov, N., Coghill, G. (eds) Advances in Neuro-Information Processing. ICONIP 2008. Lecture Notes in Computer Science, vol 5507. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03040-6_37

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-03040-6_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03039-0

  • Online ISBN: 978-3-642-03040-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics